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Finding the Third Proportional to 41,822 and 101,149

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Solution

The third proportional to 41,822 and 101,149 is: 244,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,822 : 101,149 = 101,149 : x
  2. Step 2: Convert to fraction form
    41,822/101,149 = 101,149/x
  3. Step 3: Cross multiply
    41,822x = 101,149 × 101,149
  4. Step 4: Simplify right side
    41,822x = 10,231,120,201
  5. Step 5: Solve for x
    x = 10,231,120,201/41,822
  6. Step 6: Final answer
    x = 244,634.89

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.